The following multiplayer modes are available in Black Ops II:

Capture the Flag:
Capture the enemy flag. Defend your own.

Demolition:
Two bomb sites with the offensive team all equipped with bombs. Detonate both bomb sites or defend them until the time limit expires.

Domination:
Secure a control point for your team to earn points toward victory. Reach the score limit to win the round.

Free For All:
Eliminate hostile targets.

Hardpoint:
Lock down one of three Hardpoints to score points. The Hardpoint changes during the match.

Headquarters:
Secure and control random Headquarters locations to score points.

Kill Confirmed:
Collect enemy tags to score. Deny kills by saving friendly tags.

Multi-Team Deathmatch:
Face off against multiple teams and work with your team to take down the opposition.

Search & Destroy:
A single bomb with two targets. Teams swap offense and defense. Eliminate the opposing team, and detonate or defuse the bomb to win.

Team Deathmatch:
Work with your team to take down the opposition.